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Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2000; 00:16 Prepared using nmeauth.cls [Version: 2002/09/18 v2.02]
An L - Lp mesh adaptive method for computing
unsteady bi-fluid flows
D. Gu´egan1, O. Allain1, A. Dervieux2 and F. Alauzet3
1 LEMMA - 2000 route des Lucioles - Les Algorithmes - Bt. Le Thales A, Biot, 06410, France.
2 INRIA - Tropics Project, 2004 Route des Lucioles, Sophia-Antipolis, 06902, France.
3 INRIA - Gamma Project, Domaine de Voluceau, Le Chesnay, 78153, France.
SUMMARY
This paper discusses the contribution of mesh adaptation to high-order convergence of unsteady
multi-fluid flow simulations on complex geometries. The mesh adaptation relies on a metric-based
method with a Lp
-norm error control for the size prescription and a mesh generation algorithm based
on an anisotropic Delaunay kernel. Mesh-adaptive time advancing is achieved thanks to a transient
fixed-point algorithm to predict the solution evolution coupled with a metric intersection in time
procedure. In time direction we impose equidistribution of error, that is minimisation in L
. This
adaptive approach is applied to an incompressible Navier-Stokes model combined with a level set
formulation discretized on triangular and tetrahedral meshes. Applications to interface flows under
gravity are performed to evaluate the performance of this method for this class of discontinuous flows.
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